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Skill check: Optimization

Given  f(x)=29x~f(x)=2\sqrt{9-x}\,, what is the  x~x-coordinate of the point on the curve that is closest to the origin?
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4